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4144410441 = 3537460951
BaseRepresentation
bin1111011100000110…
…1010111101001001
3101200211102212100000
43313001222331021
531441432113231
61523125033213
7204462623163
oct36701527511
911624385300
104144410441
1118374589a6
12977b55809
13510814392
142b45c5933
15193c9d6e6
hexf706af49

4144410441 has 24 divisors (see below), whose sum is σ = 6375888064. Its totient is φ = 2688260400.

The previous prime is 4144410407. The next prime is 4144410461. The reversal of 4144410441 is 1440144414.

It is not a de Polignac number, because 4144410441 - 210 = 4144409417 is a prime.

It is a super-2 number, since 2×41444104412 = 34352275806939628962, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4144410461) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 221485 + ... + 239466.

Almost surely, 24144410441 is an apocalyptic number.

It is an amenable number.

4144410441 is a deficient number, since it is larger than the sum of its proper divisors (2231477623).

4144410441 is an equidigital number, since it uses as much as digits as its factorization.

4144410441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461003 (or 460991 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 4144410441 is about 64377.0956241426. The cubic root of 4144410441 is about 1606.2787712531.

Adding to 4144410441 its reverse (1440144414), we get a palindrome (5584554855).

The spelling of 4144410441 in words is "four billion, one hundred forty-four million, four hundred ten thousand, four hundred forty-one".

Divisors: 1 3 9 27 37 81 111 243 333 999 2997 8991 460951 1382853 4148559 12445677 17055187 37337031 51165561 112011093 153496683 460490049 1381470147 4144410441